Graphs | |

Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations | |

Intercepts; Symmetry; Graphing Key Equations | |

Solving Equations Using a Graphing Utility | |

Lines | |

Circles | |

Functions and Their Graphs | |

Functions | |

The Graph of a Function | |

Properties of Functions | |

Library of Functions; Piecewise-defined Functions | |

Graphing Techniques: Transformations | |

Mathematical Models: Building Functions | |

Linear and Quadratic Functions | |

Linear Functions, Their Properties, and Linear Models | |

Building Linear Models from Data; Direct Variation | |

Quadratic Functions and Their Properties | |

Building Quadratic Models from Verbal Descriptions and Data | |

Inequalities Involving Quadratic Functions | |

Polynomial and Rational Functions | |

Polynomial Functions and Models | |

Properties of Rational Functions | |

The Graph of a Rational Function | |

Polynomial and Rational Inequalities | |

The Real Zeros of a Polynomial Function | |

Complex Zeros; Fundamental Theorem of Algebra | |

Exponential and Logarithmic Functions | |

Composite Functions | |

One-to-One Functions; Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Logarithmic and Exponential Equations | |

Financial Models | |

Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models | |

Building Exponential, Logarithmic, and Logistic Models from Data | |

Trigonometric Functions | |

Angles and Their Measure | |

Trigonometric Functions: Unit Circle Approach | |

Properties of the Trigonometric Functions | |

Graphs of the Sine and Cosine Functions | |

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |

Phase Shift; Building Sinusoidal Models | |

Analytic Trigonometry | |

The Inverse Sine, Cosine, and Tangent Functions | |

The Inverse Trigonometric Functions (Continued) | |

Trigonometric Identities | |

Sum and Difference Formulas | |

Double-angle and Half-angle Formulas | |

Product-to-Sum and Sum-to-Product Formulas | |

Trigonometric Equations (I) | |

Trigonometric Equations (II) | |

Applications of Trigonometric Functions | |

Applications Involving Right Triangles | |

The Law of Sines | |

The Law of Cosines | |

Area of a Triangle | |

Simple Harmonic Motion; Damped Motion; Combining Waves | |

Polar Coordinates; Vectors | |

Polar Coordinates | |

Polar Equations and Graphs | |

The Complex Plane; DeMoivre's Theorem | |

Vectors | |

The Dot Product | |

Vectors in Space | |

The Cross Product | |

Analytic Geometry | |

Conics | |

The Parabola | |

The Ellipse | |

The Hyperbola | |

Rotation of Axes; General Form of a Conic | |

Polar Equations of Conics | |

Plane Curves and Parametric Equations | |

Systems of Equations and Inequalities | |

Systems of Linear Equations: Substitution and Elimination | |

Systems of Linear Equations: Matrices | |

Systems of Linear Equations: Determinants | |

Matrix Algebra | |

Partial Fraction Decomposition | |

Systems of Nonlinear Equations | |

Systems of Inequalities | |

Linear Programming | |

Sequences; Induction; the Binomial Theorem | |

Sequences | |

Arithmetic Sequences | |

Geometric Sequences; Geometric Series | |

Mathematical Ind<$$$> | |

Table of Contents provided by Publisher. All Rights Reserved. |